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cupoosta [38]
3 years ago
11

You buy lunch for guests at a party. You can spend no more than $100. You will spend $20 on beverages and $10 per guest on sandw

iches. Write and solve an inequality to find the number of guests you can invite to the party.
Mathematics
1 answer:
solmaris [256]3 years ago
5 0
You can invite 2 people+ you so that would be 3 people.So 1 bevrage and one sandwitch each person and you have 10$ tip
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What is the perimeter of a rectangular building that is 80 feet wide and 140 feet deep?
EastWind [94]

Answer:

= 440 ft

Step-by-step explanation:

The perimeter of a rectangle is found by adding up all the sides.  We use the formula

P =2(l+w)

where l is the length and w is the width

The length is 140 and the width is 80

P = 2(140+80)

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What is the solution to the inequality 6 − 2x < 4?
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X>1 if that helps with your problem
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Solve for b<br><br><br>117<br>63<br>27<br>160​
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3 years ago
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A quadratic function is a function of the form y=ax^2+bx+c where a, b, and c are constants. Given any 3 points in the plane, the
pochemuha

Answer:

The quadratic function whose graph contains these points is y=-x^{2}-2x-2

Step-by-step explanation:

We know that a quadratic function is a function of the form y=ax^{2}+bx+c. The first step is use the 3 points given to write 3 equations to find the values of the constants <em>a</em>,<em>b</em>, and <em>c</em>.  

Substitute the points (0,-2), (-5,-17), and (3,-17) into the general form of a quadratic function.

-2=a*0^{2}+b*0+c\\c=-2

-17=a*-5^{2}+b*-5+c\\c=-25a+5b-17

-17=a*3^{2}+b*3+c\\ c=-9a-3b-17

We can solve these system of equations by substitution

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-9a-3b-17=25a+5b-17\\-9a-3b-17=-2

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  • Substitute a=\frac{b}{2} into the second equation

-9\left(-\frac{b}{2}\right)-3b-17=-2

  • Find the value of b

-9\left(-\frac{4b}{17}\right)-3b-17=-2\\ b=-2

  • Find the value of a

a=\frac{b}{2}\\  a=-1

The solutions to the system of equations are:

b=-2,a=-1,c=-2

So the quadratic function whose graph contains these points is

y=-x^{2}-2x-2

As you can corroborate with the graph of this function.

8 0
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lukranit [14]

Answer:

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Step-by-step explanation:

Step 1- Multiply

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3 0
3 years ago
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